Answer:
3y² + 8y + 4
Step-by-step explanation:
To multiply binomials (multiplying two equations that each have two terms), use FOIL. This means from each of the binomials, multiply the first terms, inside terms, outside terms, then the last terms. This helps you keep track that you have multiplied every term you need to.
Use FOIL twice in this expression because you are multiplying the first two binomials (2y-3) (y+2), multiplying two more binomials (y+5) (y+2)
, then adding them together.
(2y-3) (y+2) + (y+5) (y+2) Expand using FOIL twice
= (2y² + 4y - 3y - 6) + (y² + 2y + 5y + 10) Remove the brackets
= 2y² + 4y - 3y - 6 + y² + 2y + 5y + 10 Rearrange with like terms
= 2y² + y² + 4y - 3y + 2y + 5y - 6 + 10 Collect like terms
= 3y² + 8y + 4 Expanded answer
Like terms are terms that have the same variables and exponents.
There are three types of like terms in this question:
No variables
y
y² You only see them after expanding with FOIL
Since they are alike, then can be combined with adding or subtracting.
